activity
19992023
most citedSubconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups

5 citations · 15 across the 23 of their papers we have counts for

collaborators

27 papers

math.SG2023

Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity

Benjamin Delarue, Pablo Ramacher, Maximilian Schmitt

Let be a symplectic manifold carrying a Hamiltonian -action with momentum map and consider the corresponding symplectic quotient $\mathcal{M}_…

math.DG2023

A Riemann-Roch formula for singular reductions by circle actions

Benjamin Delarue, Louis Ioos, Pablo Ramacher

We compute a Hirzebruch-Riemann-Roch type formula for the invariant Riemann-Roch number of a quantizable Hamiltonian -manifold $(M,ω,\J)$, allowing to be a singular value…

math.NT2020

Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients

Pablo Ramacher, Satoshi Wakatsuki

In this paper, we describe the asymptotic distribution of Hecke eigenvalues in the Laplace eigenvalue aspect for certain families of Hecke-Maass forms on compact arithmetic quotien…

math.SG2019

Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions

Benjamin Küster, Pablo Ramacher

We derive a complete asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions on arbitrary symplectic manifolds, characterizing the coefficients in the e…

math.SP2018

Addendum to 'The equivariant spectral function of an invariant elliptic operator'

Pablo Ramacher

Let be a compact boundaryless Riemannian manifold, carrying an effective and isometric action of a torus , and an invariant elliptic classical pseudodifferential opera…

math.NT2017★ 5 cited

Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups

Pablo Ramacher, Satoshi Wakatsuki

Let be a semisimple algebraic group, a maximal compact subgroup of , and a congruence arithmetic subgroup. In this paper, we gene…